Symmetric short contact force sensor with four coils

ABSTRACT

In a flexible catheterization probe a resilient member couples the tip to the distal portion of the probe and is configured to deform in response to pressure exerted on the tip when engaging tissue. A position sensor in the distal portion of the probe senses the position of the tip relative to the distal portion of the probe. The relative position changes in response to deformation of the resilient member. The position sensor generates a signal indicative of the position of the tip responsively to a magnetic field produced by a magnetic field generator located in the position sensor. The position sensor has a first coil of conductive wire having first windings, and three second coils of conductive wire having respective second windings. The second coils are symmetrically distributed about the longitudinal axis of the first coil.

BACKGROUND OF THE INVENTION

1. Field of the Invention.

This invention relates to medical devices. More particularly, thisinvention relates to a medical device for measuring force applied toparts of the body.

2. Description of the Related Art.

Cardiac arrhythmias, such as atrial fibrillation, occur when regions ofcardiac tissue abnormally conduct electric signals to adjacent tissue,thereby disrupting the normal cardiac cycle and causing asynchronousrhythm.

Procedures for treating arrhythmia include surgically disrupting theorigin of the signals causing the arrhythmia, as well as disrupting theconducting pathway for such signals. By selectively ablating cardiactissue by application of energy via a catheter, it is sometimes possibleto cease or modify the propagation of unwanted electrical signals fromone portion of the heart to another. The ablation process destroys theunwanted electrical pathways by formation of non-conducting lesions.

Verification of physical electrode contact with the target tissue isimportant for controlling the delivery of ablation energy. Attempts inthe art to verify electrode contact with the tissue have been extensive,and various techniques have been suggested. For example, U.S. Pat. No.6,695,808 describes apparatus for treating a selected patient tissue ororgan region. A probe has a contact surface that may be urged againstthe region, thereby creating contact pressure. A pressure transducermeasures the contact pressure. This arrangement is said to meet theneeds of procedures in which a medical instrument must be placed in firmbut not excessive contact with an anatomical surface, by providinginformation to the user of the instrument that is indicative of theexistence and magnitude of the contact force.

As another example, U.S. U.S. Pat. No. 6,241,724 describes methods forcreating lesions in body tissue using segmented electrode assemblies. Inone embodiment, an electrode assembly on a catheter carries pressuretransducers, which sense contact with tissue and convey signals to apressure contact module. The module identifies the electrode elementsthat are associated with the pressure transducer signals and directs anenergy generator to convey RF energy to these elements, and not to otherelements that are in contact only with blood.

A further example is presented in U.S. Pat. No. 6,915,149. This patentdescribes a method for mapping a heart using a catheter having a tipelectrode for measuring local electrical activity. In order to avoidartifacts that may arise from poor tip contact with the tissue, thecontact pressure between the tip and the tissue is measured using apressure sensor to ensure stable contact.

U.S. Patent Application Publication 2007/0100332 describes systems andmethods for assessing electrode-tissue contact for tissue ablation. Anelectromechanical sensor within the catheter shaft generates electricalsignals corresponding to the amount of movement of the electrode withina distal portion of the catheter shaft. An output device receives theelectrical signals for assessing a level of contact between theelectrode and a tissue.

Impedance-based methods for assessing catheter-tissue contact that areknown in the art typically rely on measurement of the magnitude of theimpedance between an electrode on the catheter and a body-surfaceelectrode. When the magnitude is below some threshold, the electrode isconsidered to be in contact with the tissue. This sort of binary contactindication may be unreliable, however, and is sensitive to changes inthe impedance between the body-surface electrode and the skin.

U.S. Patent Application Publication Nos. 2008/0288038 and 2008/0275465,both by Sauarav et al., which are herein incorporated by reference,describe an electrode catheter system, which may comprise an electrodeadapted to apply electric energy. A measurement circuit adapted tomeasure impedance may be implemented between the electrode and ground asthe electrode approaches a target tissue. A processor or processingunits may be implemented to determine a contact condition for the targettissue based at least in part on reactance of the impedance measured bythe measurement circuit. In another embodiment, the contact conditionmay be based on the phase angle of the impedance.

SUMMARY OF THE INVENTION

According to disclosed embodiments of the invention, a contact forcesensor for a catheter has enhanced immunity to metal interference. Inone embodiment a cylindrical receiving coil is centrally disposed in anitinol housing and is operative for estimation of force value. Threeelliptic coils are assembled about the cylindrical receiving coil, with120 degrees between them. The elliptic coils are used for estimation offorce value and direction. Because the receiving coil is installedcentrally, deep within the center of the sensor, and remote from thenitinol housing, metal objects located less than about 1 mm to thesensor, such as the catheter shaft, do not cause a significant forcemeasurement error. Moreover, the effects of metallic objects areunaffected by the orientation of the catheter tip due to the symmetricaldesign of the contact force sensor.

There is provided according to embodiments of the invention a flexibleprobe whose distal portion is adapted for insertion into a body cavityof a patient. The distal tip of the probe is configured to be broughtinto contact with tissue in the body cavity. A resilient member couplesthe distal tip to the distal portion of the probe and is configured todeform in response to pressure exerted on the distal tip when the distaltip engages the tissue. A position sensor is disposed in the distalportion of the probe for sensing a position of the distal tip relativeto the distal portion of the probe, which changes in response todeformation of the resilient member. The position sensor is configuredto generate a signal indicative of the position of the distal tipresponsively to a magnetic field. A magnetic field generator is providedwithin the distal tip for generating the magnetic field, wherein theposition sensor includes a first coil of conductive wire having firstwindings, and three second coils of conductive wire having respectivesecond windings. The second coils are symmetrically distributed aboutthe longitudinal axis of the first coil.

According to still another aspect of the apparatus there are exactlythree second coils.

According to yet another aspect of the apparatus, the first windings aredirected about the longitudinal axis of the first coil.

According to still another aspect of the apparatus, the second coils areelliptical coils.

According to an additional aspect of the apparatus, the second coils arein contact with the first coil.

According to one aspect of the apparatus, the major axes of theelliptical coils are parallel to the longitudinal axis of the firstcoil.

According to another aspect of the apparatus, the second windings aredirected from the first vertex to the second vertex of the ellipticalcoils, respectively.

According to a further aspect of the apparatus, the first coil is woundabout a hollow tube.

According to yet another aspect of the apparatus, the second coils areair core inductors.

There is further provided according to embodiments of the invention amethod, which is carried out by inserting the distal portion of aflexible probe into a body cavity of a patient, bringing the distal tipof the probe into contact with tissue in the body cavity, coupling thedistal tip to the distal portion of the probe with a resilient memberthat is configured to deform in response to pressure exerted on thedistal tip when the distal tip engages the tissue, and sensing aposition of the distal tip relative to the distal portion of the probewith a position sensor disposed in the distal portion of the probe. Theposition of the distal tip changes in response to deformation of theresilient member. The method is further carried out by generating asignal indicative of the position of the distal tip responsively to amagnetic field that is generated in a vicinity of the distal tip,providing a magnetic field generator within the distal tip forgenerating the magnetic field. The position sensor includes a first coilof conductive wire and three second coils of conductive wire. The secondcoils are symmetrically distributed about the longitudinal axis of thefirst coil.

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS

For a better understanding of the present invention, reference is madeto the detailed description of the invention, by way of example, whichis to be read in conjunction with the following drawings, wherein likeelements are given like reference numerals, and wherein:

FIG. 1 is a pictorial illustration of a system for performingcatheterization procedures on a heart, in accordance with a disclosedembodiment of the invention;

FIG. 2 is a schematic oblique elevation of a contact force sensor 37 inaccordance with an embodiment of the invention;

FIG. 3 is a sectional view through a sensor in accordance with anembodiment of the invention;

FIG. 4 is a schematic partial sectional view through an air coreelliptical coil in accordance with an embodiment of the invention;

FIG. 5 is an elevation of a distal portion of a cardiac catheter inaccordance with an embodiment of the invention;

FIG. 6 is a schematic sectional view through the distal portion of acardiac catheter including a contact force sensor that is constructedand operative in accordance with an embodiment of the invention; and

FIG. 7 is a flow chart of a method of determining contact between aprobe and a tissue in accordance with an embodiment of the invention.

DETAILED DESCRIPTION OF THE INVENTION

In the following description, numerous specific details are set forth inorder to provide a thorough understanding of the various principles ofthe present invention. It will be apparent to one skilled in the art,however, that not all these details are necessarily needed forpracticing the present invention. In this instance, well-known circuits,control logic, and the details of computer program instructions forconventional algorithms and processes have not been shown in detail inorder not to obscure the general concepts unnecessarily.

System Overview.

Turning now to the drawings, reference is initially made to FIG. 1,which is a pictorial illustration of a system 10 for evaluatingelectrical activity and performing ablative procedures on a heart 12 ofa living subject, which is constructed and operative in accordance witha disclosed embodiment of the invention. The system comprises a catheter14, which is percutaneously inserted by an operator 16 through thepatient's vascular system into a chamber or vascular structure of theheart 12. The operator 16, who is typically a physician, brings thecatheter's distal tip 18 into contact with the heart wall, for example,at an ablation target site. Electrical activation maps may be prepared,according to the methods disclosed in U.S. Pat. Nos. 6,226,542, and6,301,496, and in commonly assigned U.S. Pat. No. 6,892,091, whosedisclosures are herein incorporated by reference. One commercial productembodying elements of the system 10 is available as the CARTO® 3 System,available from Biosense Webster, Inc., 3333 Diamond Canyon Road, DiamondBar, Calif. 91765. This system may be modified by those skilled in theart to embody the principles of the invention described herein.

Areas determined to be abnormal, for example by evaluation of theelectrical activation maps, can be ablated by application of thermalenergy, e.g., by passage of radiofrequency electrical current throughwires in the catheter to one or more electrodes at the distal tip 18,which apply the radiofrequency energy to the myocardium. The energy isabsorbed in the tissue, heating it to a point (typically about 60° C.)at which it permanently loses its electrical excitability. Whensuccessful, this procedure creates non-conducting lesions in the cardiactissue, which disrupt the abnormal electrical pathway causing thearrhythmia. The principles of the invention can be applied to differentheart chambers to diagnose and treat many different cardiac arrhythmias.

The catheter 14 typically comprises a handle 20, having suitablecontrols on the handle to enable the operator 16 to steer, position andorient the distal end of the catheter as desired for the ablation. Toaid the operator 16, the distal portion of the catheter 14 containsposition sensors (not shown) that provide signals to a processor 22,located in a console 24. The processor 22 may fulfill several processingfunctions as described below.

Ablation energy and electrical signals can be conveyed to and from theheart 12 through one or more ablation electrodes 32 located at or nearthe distal tip 18 via cable 34 to the console 24. Pacing signals andother control signals may be conveyed from the console 24 through thecable 34 and the electrodes 32 to the heart 12. Sensing electrodes 33,also connected to the console 24 are disposed between the ablationelectrodes 32 and have connections to the cable 34.

Wire connections 35 link the console 24 with body surface electrodes 30and other components of a positioning sub-system for measuring locationand orientation coordinates of the catheter 14. The processor 22 oranother processor (not shown) may be an element of the positioningsubsystem. The electrodes 32 and the body surface electrodes 30 may beused to measure tissue impedance at the ablation site as taught in U.S.Pat. No. 7,536,218, issued to Govari et al., which is hereinincorporated by reference. A temperature sensor (not shown), typically athermocouple or thermistor, may be mounted on or near each of theelectrodes 32.

The console 24 typically contains one or more ablation power generators25. The catheter 14 may be adapted to conduct ablative energy to theheart using any known ablation technique, e.g., radiofrequency energy,ultra-sound energy, and laser-produced light energy. Such methods aredisclosed in commonly assigned U.S. Pat. Nos. 6,814,733, 6,997,924, and7,156,816, which are herein incorporated by reference.

In one embodiment, the positioning subsystem comprises a magneticposition tracking arrangement that determines the position andorientation of the catheter 14 by generating magnetic fields in apredefined working volume and sensing these fields at the catheter,using field generating coils 28. The positioning subsystem is describedin U.S. Pat. No. 7,756,576, which is hereby incorporated by reference,and in the above-noted U.S. Pat. No. 7,536,218.

As noted above, the catheter 14 is coupled to the console 24, whichenables the operator 16 to observe and regulate the functions of thecatheter 14. Console 24 includes a processor, preferably a computer withappropriate signal processing circuits. The processor is coupled todrive a monitor 29. The signal processing circuits typically receive,amplify, filter and digitize signals from the catheter 14, includingsignals generated by sensors such as electrical, temperature and contactforce sensors, and a plurality of location sensing electrodes (notshown) located distally in the catheter 14. The digitized signals arereceived and used by the console 24 and the positioning system tocompute the position and orientation of the catheter 14, and to analyzethe electrical signals from the electrodes.

In order to generate electroanatomic maps, the processor 22 typicallycomprises an electroanatomic map generator, an image registrationprogram, an image or data analysis program and a graphical userinterface configured to present graphical information on the monitor 29.

Typically, the system 10 includes other elements, which are not shown inthe figures for the sake of simplicity. For example, the system 10 mayinclude an electrocardiogram (ECG) monitor, coupled to receive signalsfrom one or more body surface electrodes, in order to provide an ECGsynchronization signal to the console 24. As mentioned above, the system10 typically also includes a reference position sensor, either on anexternally-applied reference patch attached to the exterior of thesubject's body, or on an internally-placed catheter, which is insertedinto the heart 12 maintained in a fixed position relative to the heart12. Conventional pumps and lines for circulating liquids through thecatheter 14 for cooling the ablation site are provided. The system 10may receive image data from an external imaging modality, such as an MRIunit or the like and includes image processors that can be incorporatedin or invoked by the processor 22 for generating and displaying images.

Contact Force Sensor.

Reference is now made to FIG. 2, which is a schematic oblique elevationof a contact force sensor 37 in accordance with an embodiment of theinvention. A central coil 39 comprises one or two layers of 10 μenameled copper wire are wound about a cylindrical air-filled polyimidetube 41 to form a central air core inductor 43. The diameter of the tube41 is typically about 0.8-0.9 mm. Typical dimensions for one layer of 10μm wire wound about the polyimide tubing are: outer diameter 0.947 mm,length 2.15 mm, and 350 turns. The central coil 39 is wound generallytransverse to the longitudinal axis of the tube 41.

Surrounding the inductor 43 are a plurality of elliptical coils. Threeelliptical coils 45, 47, 49 are shown in FIG. 2. Each comprises morethan 10 layers of 10 μ enameled copper wire to create an air coreelliptic coil having major and minor axes, which are typically 2.15-2.35and 0.6-0.8 cm, respectively. In this embodiment elliptical coils 45,47, 49 are disposed about the central coil 39 with the major axis ofeach ellipse being parallel to the longitudinal axis of the central coil39. The windings of the elliptical coils 45, 47, 49 are each generallydirected from one vertex to the other vertex of the respective ellipses.The elliptical coils 45, 47, 49 are symmetrically distributed about thelongitudinal axis of the tube 41. Leads 51 conduct signals from theelliptical coils 45, 47, 49 to a processor (not shown). A lead 53conducts signals from the central coil 39 to the processor.

Reference is now made to FIG. 3, which is a sectional view through asensor in accordance with an embodiment of the invention. Distributionof the elliptical coils 45, 47, 49 at 120° intervals is demonstrated onthis view. There is a contacting relationship between each of the formsof the elliptical coils 45, 47, 49 and the central coil 39. Wire leads55 are provided for conducting signals from the coils.

Reference is now made to FIG. 4, which is a schematic partial viewthrough an air core elliptic coil 57, in accordance with an embodimentof the invention. As shown in a cross section 59 taken through line A-Aof coil 57, more than ten layers of wire 61 are wound in an ellipticalpattern to form the elliptical air coil.

Reference is now made to FIG. 5, which is an elevation of the distalportion of a cardiac catheter 63, in accordance with an embodiment ofthe invention. A contact force sensor constructed in accordance with anembodiment of the invention is disposed in a segment 65 of the catheter.Except for the contact force sensor, the catheter 63 may be the catheterdescribed in commonly assigned U.S. Patent Application Publication No.2009/0093806 by Govari et al., which is herein incorporated byreference. The catheter 63 is a flexible insertion tube, having a distalend 67 for insertion into a body cavity of a patient, and a distal tip69, which is configured to be brought into contact with tissue in a bodycavity. A resilient member 71 couples the distal tip 69 to the distalend 67 and deforms in response to pressure exerted on the distal tip 69.When the distal tip 69 engages the tissue. The contact force sensorwithin the probe senses a position of the distal tip 69 relative to thedistal end 67 of the catheter 63, The position and the sensor readingschange in response to deformation of the resilient member 71.

Reference is now made to FIG. 6, which is a schematic longitudinalsectional view through the distal portion of a cardiac catheter 73,which has been modified by replacement of a conventional contact forcesensor by a contact force sensor 75 that is constructed and operative inaccordance with an embodiment of the invention. From the perspective ofthe operator, the operation of the catheter 63 does not differ from anunmodified version. However, there is one less coil and one lesselectrical channel than in the unmodified version. A transmitting coil77 is provided as a signal source for the central coil and theelliptical coils in the contact force sensor 75. Four receiving coils79, (best seen in FIG. 2 as the elliptical coils 45, 47, 49 and centralcoil 39) are present. The contact force sensor 75 receives signals fromexternal field generating coils 28 (FIG. 1) and the transmitting coil77, so that the four receiving coils 79 are exposed to fourelectromagnetic fields at respective frequencies. Other components ofthe contact force sensor 75 include a spring 81 disposed between thetransmitting coil 77 and the receiving coils 79. Various typicallyasymmetric metallic structures 83 having functions that are beyond thescope of this disclosure may be present in the cardiac catheter 73. Asnoted above, the metallic structures 83 can adversely affect readings ofthe contact force sensor 75.

Operation.

As noted above, the elliptical coils 45, 47, 49 provide information onforce value and direction. The central coil 39 provides information onthe force value. Reverting to FIG. 2, the signals received in theelliptical coils 45, 47, 49 and the central coil 39 are measured and theratio between the transmitted signal produced by transmitting coil 77(FIG. 6) and the received signal from the elliptical coils is calculatedfor each of the elliptical coils 45, 47, 49 and the central coil 39using signals from the field generating coils 28 (FIG. 1) at respectivefrequencies:

$S_{i} = {\frac{{RX}_{{force}_{i}}}{TX}}_{{i = 1},2,3}$

The ratio between the transmitted and received signal is normalized witha measurement taken when no force is applied to the tip of the catheter.

${Sz}_{i} = {{\frac{S_{i}}{S_{{zero}_{i}}} - 1}}_{{i = 1},2,3}$

After calibration, the force applied to the tip of the catheter isestimated as follows:

$\begin{matrix}{{\overset{arrow}{F}{estimated}\mspace{14mu}{vector}} = {{\begin{bmatrix}M_{11} & M_{12} & M_{13} \\M_{21} & M_{22} & M_{23} \\M_{31} & M_{32} & M_{33}\end{bmatrix} \cdot \begin{bmatrix}{Sz}_{1} \\{Sz}_{2} \\{Sz}_{3}\end{bmatrix}} = \begin{bmatrix}F_{x} \\F_{y} \\F_{z}\end{bmatrix}}} & {{Eq}.\mspace{14mu}(1)}\end{matrix}$

${F = \sqrt{F_{x}^{2} + F_{y}^{2} + F_{z}^{2}}},{\varnothing = {\tan^{- 1}( \frac{\sqrt{F_{x}^{2} + F_{y}^{2}}}{F_{z}} )}},{\varphi = {\tan^{- 1}( \frac{F_{x}}{F_{y}} )}},$where M_(ij) are calibration elements calculated for a given matrix of Nforce measurements, each comprising components F_(X), F_(y), F_(z). Fourforce measurements can be obtained from the three elliptical coils 45,47, 49 and the central coil 39.

Signals from all four coils provide a solution for magnitude anddirection.

For all four coils the force vector is:

$\begin{matrix}{\overset{arrow}{F} = {{\begin{bmatrix}M_{11} & M_{12} & M_{13} & M_{14} \\M_{21} & M_{22} & M_{23} & M_{24} \\M_{31} & M_{32} & M_{33} & M_{34} \\M_{41} & M_{42} & M_{43} & M_{44}\end{bmatrix} \cdot \begin{bmatrix}{Sz}_{1} \\{Sz}_{2} \\{Sz}_{3} \\{Sz}_{4}\end{bmatrix}} = \begin{bmatrix}F_{x} \\F_{y} \\F_{z} \\F_{w}\end{bmatrix}}} & {{Eq}.\mspace{14mu}(2)}\end{matrix}$

When only a single coil is being used, the equation reduces to.{right arrow over (F)}=[M1]*[Sz1]=[Fx]  Eq. (3)

Signals from three elliptical coils provide a less precise solution formagnitude and direction than from all four coils.

Signals taken only from the central coil provide a solution formagnitude, but not direction.

The magnitude of readings from the contact force sensor are dependent onthe hardware configuration of the catheter and the electronics.Typically, the maximum axial force detected is 150 gm. A lateral forcecan be accurately measured up to 30 gm, above which accuracy suffers.The resolution of the force measurement is less than 1 gm.

Reference is now made to FIG. 7, which is a flow chart of a method ofdetermining contact between a probe and a tissue in accordance with anembodiment of the invention. The process steps are shown in a particularlinear sequence for clarity of presentation. However, it will be evidentthat many of them can be performed in parallel, asynchronously, or indifferent orders. Those skilled in the art will also appreciate that aprocess could alternatively be represented as a number of interrelatedstates or events, e.g., in a state diagram. Moreover, not allillustrated process steps may be required to implement the method.

At initial step 85 a probe is introduced conventionally into the body ofa subject and brought into contact with a tissue. Metallic objects areassumed to be present in sufficient proximity to affect the readings ofthe contact force sensor.

Next, at step 87 a force vector (A) is determined using all four coilsof the sensor, e.g., elliptical coils 45, 47, 49 and central coil 39(FIG. 2) according to Equation 2,

Next, at step 89 a force vector (B) is determined using the threeelliptical coils 45, 47, 49 according to Equation 1.

Next, at step 91 a force vector (C) is determined using only the centralcoil 39 according to Equation 3

Next, at decision step 93, it is determined if the force magnitude (C)obtained from the central coil 39 in step 91 is in agreement with theforce magnitude (B) obtained from the elliptical coils 45, 47, 49 instep 89 according to a predetermined criterion, e.g., the two forcemagnitudes differ by less than 5%. This criterion may be varied indifferent applications.

If the determination at decision step 93 is affirmative, then controlproceeds to final step 95. The force magnitude and directional readingsfrom all four coils (A) that was obtained in step 87 are used toevaluate contact between the probe and the tissue.

If the determination at decision step 93 is negative, then at final step97 the force magnitude information obtained from the central coil 39 (C)is used to evaluate contact between the probe and the tissue.Directional information is not available.

It will be appreciated by persons skilled in the art that the presentinvention is not limited to what has been particularly shown anddescribed hereinabove. Rather, the scope of the present inventionincludes both combinations and sub-combinations of the various featuresdescribed hereinabove, as well as variations and modifications thereofthat are not in the prior art, which would occur to persons skilled inthe art upon reading the foregoing description.

The invention claimed is:
 1. A method, comprising the steps of:inserting a flexible probe into a body cavity of a patient, the flexibleprobe having a distal portion and a distal tip coupled to the distalportion by a resilient member, the resilient member being configured todeform in response to pressure exerted on the distal tip when the distaltip engages tissue within the body cavity, a magnetic field generatorlocated within the distal tip for generating a magnetic field and aposition sensor disposed in the distal portion, the position sensorcomprising a first coil of conductive wire having a longitudinal axisand first windings and three second coils of conductive wire havingrespective second windings, the second coils being symmetricallydistributed about the longitudinal axis of the first coil; bringing thedistal tip of the probe into contact with the tissue in the body cavity;sensing a position of the distal tip relative to the distal portion ofthe probe with the position sensor, wherein the position of the distaltip changes in response to deformation of the resilient member,generating a signal indicative of the position of the distal tipresponsively to a magnetic field that is generated in a vicinity of thedistal tip, wherein generating the signal comprises determining a firstforce vector using signals from the first coil and the three secondcoils; determining a second force vector using signals only from thethree second coils; determining a third force vector using signals onlyfrom the first coil; when the second force vector and the third forcevector differ by less than a threshold using the first force vector asthe signal indicative of the position of the distal tip; and when thesecond force vector and the third force vector differ by more than thethreshold using the third force vector as the signal indicative of theposition of the distal tip.
 2. The method according to claim 1, in whichthere are exactly three second coils.
 3. The method according to claim1, wherein the first windings are directed about the longitudinal axisof the first coil.
 4. The method according to claim 1, wherein thesecond coils are elliptical coils having major axes, a first vertex anda second vertex, respectively.
 5. The method according to claim 4,wherein the second coils are in contact with the first coil.
 6. Themethod according to claim 4, wherein the major axes of the ellipticalcoils are parallel to the longitudinal axis of the first coil.
 7. Themethod according to claim 4, wherein the second windings are directedfrom the first vertex to the second vertex, respectively.
 8. The methodaccording to claim 1, wherein the first coil is wound about a hollowtube.
 9. The method according to claim 1, wherein the second coils areair core inductors.